For a business, A invests Rs. 60,000. After six months, B joins and invests Rs. 72,000 and A invests Rs. 4,000 more. After another two months, C joins and invests Rs. 92,000 and A invests Rs. 2,000 more and B invests Rs. 6,000 more. After sixteen months, the profit earned was Rs. 1,89,000. What is the A’s and C’s share of profit?

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  1. A = Rs. 76,200 C = Rs. 55,200
  2. A = Rs. 76,200 C = Rs. 48,400
  3. A = Rs. 84,605 C = Rs. 56,890
  4. A = Rs. 76,700 C = Rs. 52,800
  5. None of the above

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Option 1 : A = Rs. 76,200 C = Rs. 55,200

Ratio of their share in profit = Ratio of their investments

⇒ 60000 × 6 + 64000 × 2 + 66000 × 8 ∶ 72000 × 2 + 78000 × 8 ∶ 92000 × 8

Thus, ratio of their investments = 1016000 ∶ 768000 ∶ 736000 = 1016 ∶ 768 ∶ 736 = 127 ∶ 96 ∶ 92

Profit earned after a year = Rs. 1,89,000

A’s share = (127/315) × 189000 = Rs. 76200

C’s share = (92/315) × 189000 = Rs. 55200

Thus, A’s share is Rs. 76,200 and C’s share is Rs. 55,200.

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